Miangg12viz
Answered

a.)3x² + 5x + 6=0
Sum of roots:
Product of roots:

b.)4x² - 6x + 15=0
Sum of roots:
Product of roots:

help me please..

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Sagot :

RobbieRavenclawviz

Answer:

a.)   [tex]3x^2+5x+6=0[/tex]

where:

  • [tex]a=3[/tex]
  • [tex]b=5[/tex]
  • [tex]c=6[/tex]

Find:

  • [tex]x_1+x_2=?[/tex]
  • [tex]x_1x_2=?[/tex]

Formula:

  • [tex]x_1+x_2=\frac{-b}{a}[/tex]
  • [tex]x_1x_2=\frac{c}{a}[/tex]

Solution:

  • [tex]x_1+x_2=\frac{-b}{a}=\boxed{\frac{-5}{3}}[/tex]
  • [tex]x_1x_2=\frac{c}{a}=\frac{6}{3}=\boxed{2}[/tex]

b.)   [tex]4x^2-7x+15=0[/tex]

where:

  • [tex]a=4[/tex]
  • [tex]b=-7[/tex]
  • [tex]c=15[/tex]

Find:

  • [tex]x_1+x_2=?[/tex]
  • [tex]x_1x_2=?[/tex]

Formula:

  • [tex]x_1+x_2=\frac{-b}{a}[/tex]
  • [tex]x_1x_2=\frac{c}{a}[/tex]

Solution:

  • [tex]x_1+x_2=\frac{-b}{a}=\frac{-(-6)}{4}=\frac{6}{4}=\boxed{\frac{3}{2}}\:\:or\:\:\boxed{1\frac{1}{2}}[/tex]
  • [tex]x_1x_2=\frac{c}{a}=\boxed{\frac{15}{4}}\:\:or\:\:\boxed{3\frac{3}{4}}[/tex]

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